I can only see one picture of a cut off driveshaft going to powerhead, without any holes, etc..
Your slide hammer system/connection must not have ANY give/flex to it. You should be hammering in BOTH directions if it's stubborn, just more in the getting it out direction.
Put motor upside down and pour in your favorite penetrating oil and keep working it. Kroil is what gets used here. You can use a 50/50 mix of acetone and auto tranny fluid. Pb blaster is decent.
You need to use a fair amount to elevate the fluid to a height that covers the connection.
As you found out, patience and small increments are needed when tapping. Having done so many, I can feel the tool flexing and know it's limits.
Have you tried putting the motor upside down?